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Finding the Fourth Proportional to 190,691.04, 286,050.24 and 50,448

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Solution

The fourth proportional to 190,691.04, 286,050.24 and 50,448 is: 75,675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,691.04 : 286,050.24 = 50,448 : x
  2. Step 2: Convert to fraction form
    190,691.04/286,050.24 = 50,448/x
  3. Step 3: Cross multiply
    190,691.04x = 286,050.24 × 50,448
  4. Step 4: Simplify right side
    190,691.04x = 14,430,662,507.52
  5. Step 5: Solve for x
    x = 14,430,662,507.52/190,691.04
  6. Step 6: Final answer
    x = 75,675.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.